James Somerville Frazer (July 17, 1824 – February 20, 1893) was an American politician, lawyer, and judge who served in the Indiana House of Representatives and as a justice of the Indiana Supreme Court from January 3, 1865 to January 3, 1871. Frazer also worked for the Grant administration to help adjust claims made by various parties against the U.S. during the Civil War (most notably the Alabama Claims made by the United Kingdom). Frazer was considered by President Ulysses S. Grant as a potential nominee to the U.S. Supreme Court.